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Finding the Third Proportional to 83,719 and 125,578.50

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Solution

The third proportional to 83,719 and 125,578.50 is: 188,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,719 : 125,578.50 = 125,578.50 : x
  2. Step 2: Convert to fraction form
    83,719/125,578.50 = 125,578.50/x
  3. Step 3: Cross multiply
    83,719x = 125,578.50 × 125,578.50
  4. Step 4: Simplify right side
    83,719x = 15,769,959,662.25
  5. Step 5: Solve for x
    x = 15,769,959,662.25/83,719
  6. Step 6: Final answer
    x = 188,367.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.